Question

the diagonal of a rectangular park is 10 m. if its sides are in the ratio 4:3 , find the cost of femcing at Rs.15 per metre​

Answer 1

Answer:

₹420

Explanation :

★ Given ratio :

• Length : breadth = 4 : 3

★ Diagonal :

• 10 metres.

Let's assume :

• length = 4x
• Breadth = 3x

By Pythagoras theorem,

→ 4x² + 3x² = 10²

Solving for “x’’

→ 16x² + 9x² = 100

→ 25x² = 100

→ x² = 100/25

→ x² = 4

→ x = √4

→ x = 2 units.

The value of “x” is 2 units.

Hence, the dimensions are :

• length = 4x = 8 metres.
• breadth = 3x = 6 metres.

Fencing of the park = Perimeter of a rectangle

• Perimeter of a rectangle is 2(l + b).

So, the fencing is

→ 2(8 + 6)

→ 2(14)

→ 28 metres.

Cost of fencing : rate of fencing × fencing

Where,

the rate is ₹15 per metre.

So,

→ 15 × 28

→ ₹420

Required answer : ₹420